(37b-6)-9(4b+3)=-4

Solution for (37b-6)-9(4b+3)=-4 equation:

Simplifying
(37b + -6) + -9(4b + 3) = -4

Reorder the terms:
(-6 + 37b) + -9(4b + 3) = -4

Remove parenthesis around (-6 + 37b)
-6 + 37b + -9(4b + 3) = -4

Reorder the terms:
-6 + 37b + -9(3 + 4b) = -4
-6 + 37b + (3 * -9 + 4b * -9) = -4
-6 + 37b + (-27 + -36b) = -4

Reorder the terms:
-6 + -27 + 37b + -36b = -4

Combine like terms: -6 + -27 = -33
-33 + 37b + -36b = -4

Combine like terms: 37b + -36b = 1b
-33 + 1b = -4

Solving
-33 + 1b = -4

Solving for variable 'b'.

Move all terms containing b to the left, all other terms to the right.

Add '33' to each side of the equation.
-33 + 33 + 1b = -4 + 33

Combine like terms: -33 + 33 = 0
0 + 1b = -4 + 33
1b = -4 + 33

Combine like terms: -4 + 33 = 29
1b = 29

Divide each side by '1'.
b = 29

Simplifying
b = 29